Skew PBW extensions over symmetric rings

• Date: 2021
• Main Authors: Reyes, A., Suárez, H.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: symmetric ring; noncommutative ring; skew PBW extension; Primary 16S36; 16S38; Secondary 14A22; 16T20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1767
• Journal Title: Algebra and Discrete Mathematics

Our purpose in this paper is to characterize skew PBW extensions over several weak symmetric rings. As a consequence of our treatment, we extend results in the literature concerning the property of symmetry for commutative rings and skew polynomial rings.